1996/11/30 by Pei-Ming Ho, Yong-Shi Wu · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Brane #Brane cosmology #Computer science #D-brane #Differential calculus #Effective action #Geometry #Mathematical physics #Mathematics #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum differential calculus #Quantum mechanics #Space (punctuation) #Superstring theory #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)00202-5
published as Phys.Lett.B398:52-60,1997 · 16 pages, Latex, typos corrected and minor modification made
arxiv created 1996/12/09 · openalex publication_date 1997/04/01 · arxiv updated 2010/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We apply noncommutative geometry to a system of N parallel D-branes, which is interpreted as a quantum space. The Dirac operator defining the quantum differential calculus is identified to be the supercharge for strings connecting D-branes. As a result of the calculus, Connes' Yang-Mills action functional on the quantum space reproduces the dimensionally reduced U(N) super Yang-Mills action as the low energy effective action for D-brane dynamics. Several features that may look ad hoc in a noncommutative geometric construction are shown to have very natural physical or geometric origin in the D-brane picture in superstring theory.